Calculator mixed numbers and decimals

1.5 - 1 1/5 = 310 = 0.3

Spelled result in words is three tenths.

Calculation steps

  1. Conversion a decimal number to a fraction: 1.5 = 1510 = 32

    a) Write down the decimal 1.5 divided by 1: 1.5 = 1.51
    b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
    1.51 = 1510
    Note: 1510 is called a decimal fraction.

    c) Simplify and reduce the fraction
    1510 = 3 * 52 * 5 = 3 * 52 * 5 = 32
  2. Conversion a mixed number to a improper fraction: 1 1/5 = 1 15 = 1 · 5 + 15 = 5 + 15 = 65

    To find new numerator:
    a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 55 = 55
    b) Add the answer from previous step 5 to the numerator 1. New numerator is 5 + 1 = 6
    c) Write previous answer (new numerator 6) over the denominator 5.
  3. Subtract: 1.5 - 65 = 32 - 65 = 3 · 52 · 5 - 6 · 25 · 2 = 1510 - 1210 = 15 - 1210 = 310
    The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. The fraction result cannot be further simplified by cancelling.
    In words - three halfs minus six fifths = three tenths.

Calculate the next expression:



The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. Also shows detailed step-by-step information about fraction calculation procedure. Solve problems with two, three or more fractions and numbers in one expression.




Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Examples:

• addition of fractions: 2/4 + 3/4
• adds proper and improper fractions: 4/6+1/8
• adding fractions and mixed numbers: 8/5 + 6 2/7
• subtraction fractions: 2/3 - 1/2
• multiplying a fraction by another fraction - multiplication: 7/8 * 3/9
• division of fractions: 1/2 : 3:4
• complex fractions: 5/8 : 2 2/3
• what is: 1/12 divided by 1/4
• converting a decimal to a fraction: 0.125 as a fraction
• comparing fractions: 1/4 2/3
• multiplying a fraction by a whole number: 6 * 3/4
• dividing integer and fraction: 5/5 ÷ 1/2
• exponentiation of fraction: 3/5^3
• fractional exponents: 16 ^ 1/2
• square root of a fraction: sqrt(1/16)
• reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22
• mixed numbers and decimals: 1.5 - 1 1/5
• subtracting mixed number and fraction: 1 3/5 - 5/6
• operations with mixed fractions: 8 1/5 + 9 1/2
• expression with brackets: 1/3 * (1/2 - 3 3/8)
• convert a fraction to a percentage: 3/8 %
• conversion between fractions and decimals: 5/8
• compound fraction: 3/4 of 5/7
• fractions multiple: 2/3 of 3/5
• divide to find the quotient: 3/5 ÷ 2/3
• viral Japanese fraction problem (order of operations with fractions) : 9 - 3 ÷ 1/3 + 1

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.